Multi-sectioned arms are used as a basic mechanism for coupling the display and the base of a portable electronic device. With this mechanism, one single portable electronic device can support all of the following capabilities. The display can move continuously, relative to the back edge of the base, along any combination of up and down, left and right, and forward and backward directions. The display can be tilted up and down as well as sideways and also set to portrait and landscape orientations. The base can be tilted forward for typing comfort and better heat dispersion. There is also an anti-tipping mechanism. When the display is in conventional open or close positions, each arm can be folded and parked alongside, parallel to, and away from the edge of the base. The arms can be detached from the computer. The base and the display can overlay each other in four ways.